Q: What are the factor combinations of the number 86,785?
A:
Positive:
1 x 867855 x 1735717 x 510585 x 1021
Negative:
-1 x -86785-5 x -17357-17 x -5105-85 x -1021
A:
Positive:
1 x 867855 x 1735717 x 510585 x 1021
Negative:
-1 x -86785-5 x -17357-17 x -5105-85 x -1021
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 86,785, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
1 | 86,785 | |
-1 | -86,785 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 86,785.
Example:
1 x 86,785 = 86,785
and
-1 x -86,785 = 86,785
Notice both answers equal 86,785
With that explanation out of the way, let's continue. Next, we take the number 86,785 and divide it by 2:
86,785 ÷ 2 = 43,392.5
If the quotient is a whole number, then 2 and 43,392.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 86,785 | |
-1 | -86,785 |
Now, we try dividing 86,785 by 3:
86,785 ÷ 3 = 28,928.3333
If the quotient is a whole number, then 3 and 28,928.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 86,785 | |
-1 | -86,785 |
Let's try dividing by 4:
86,785 ÷ 4 = 21,696.25
If the quotient is a whole number, then 4 and 21,696.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
1 | 86,785 | |
-1 | 86,785 |
If you did it right, you will end up with this table:
1 | 5 | 17 | 85 | 1,021 | 5,105 | 17,357 | 86,785 |
-1 | -5 | -17 | -85 | -1,021 | -5,105 | -17,357 | -86,785 |
Here are some more numbers to try:
Try the factor calculator